5 papers
Harmonic Maps into Euclidean Buildings and Non-Archimedean Superrigidity
Christine Breiner, Ben K. Dees, Chikako Mese
We prove that harmonic maps into Euclidean buildings, which are not necessarily locally finite, have singular sets of Hausdorff codimension 2, extending the locally finite regulari…
Harmonic maps in singular geometry and rigidity
Georgios Daskalopoulos, Chikako Mese
This survey reviews results on harmonic maps into spaces of non-positive curvature, with a focus on targets that lack smooth structure. More precisely, we consider targets that are…
Pluriharmonic maps into buildings and symmetric differentials
Damian Brotbek, Georgios Daskalopoulos, Ya Deng +1
Given a complex smooth quasi-projective variety , a semisimple algebraic group defined over some non-archimedean local field and a Zariski dense representation $\varrho:…
Existence and unicity of pluriharmonic maps to Euclidean buildings and applications
Ya Deng, Chikako Mese
Given a complex smooth quasi-projective variety , a reductive algebraic group defined over some non-archimedean local field and a Zariski dense representation $\varrho:Ï…
Deformation Openness of Big Fundamental Groups and Applications
Ya Deng, Chikako Mese, Botong Wang
In 2001, de Oliveira, Katzarkov, and Ramachandran conjectured that the property of smooth projective varieties having big fundamental groups is stable under small deformations. Thi…